An important non-perturbative effect in quantum physics is the energy gap of superconductors, which is exponentially small in the coupling constant. A natural question is whether this effect can...
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Thursday, 23 May, 2019
We present a systematic procedure to extract the perturbative series for the ground state energy density in the Lieb-Liniger and Gaudin-Yang models, starting from the Bethe ansatz solution. This...
arXiv:1905.09575
Wednesday, 22 May, 2019
We explore consequences of the Averaged Null Energy Condition (ANEC) for scaling dimensions \Delta of operators in four-dimensional \mathcal{N}=1 superconformal field theories. We show that in...
arXiv:1905.09293
Wednesday, 22 May, 2019
The background photon temperature \bar T is one of the fundamental cosmological parameters. Despite its significance, \bar T has never been allowed to vary in the data analysis, owing to the...
arXiv:1905.09288
Monday, 20 May, 2019
Given n≥3, consider the critical elliptic equation \Delta u + u^{2^*-1}=0 in \mathbb R^n with u>0. This equation corresponds to the Euler-Lagrange equation induced by the Sobolev embedding H^...
arXiv:1905.08203
Monday, 20 May, 2019
These notes give an introduction to the mathematical framework of the Batalin-Vilkovisky and Batalin-Fradkin-Vilkovisky formalisms. Some of the presented content was given as a mini course by...
arXiv:1905.08047
Monday, 20 May, 2019
We develop a theoretical framework to describe the cosmological observables on the past light cone such as the luminosity distance, weak lensing, galaxy clustering, and the cosmic microwave...
arXiv:1905.08262
Thursday, 16 May, 2019
We explore the space of consistent three-particle couplings in \mathbb Z_2-symmetric two-dimensional QFTs using two first-principles approaches. Our first approach relies solely on unitarity,...
arXiv:1905.06905
Wednesday, 15 May, 2019
We present a brief survey of rigorous results on the asymptotic behavior of correlations between two local functions as the distance between their support diverges, concentrating on the Ising...
arXiv:1905.06207
Saturday, 11 May, 2019
We give a description of the operad formed by the real locus of the moduli space of stable genus zero curves with marked points \overline{{\mathcal M}_{0,{n+1}}}({\mathbb R}) in terms of a...
arXiv:1905.04499
Wednesday, 8 May, 2019
We complete the analysis of the extremal eigenvalues of the the adjacency matrix A of the Erdős-Rényi graph G(N,d/N) in the critical regime d \asymp \log N of the transition uncovered in [arXiv:...
arXiv:1905.03243
Friday, 3 May, 2019
We develop the general theory of the angular N-point spectra and derive the cosmic variance on the light cone. While the angular bispectrum and the trispectrum are well developed in literature,...
arXiv:1905.01293